A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class
Abstract
We simulate the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter D on the simple cubic lattice. We perform a finite size scaling study of lattices of a linear size up to L=360 to obtain accurate estimates for critical exponents. We focus on values of D, where the amplitudes of leading corrections are small. Furthermore we employ improved observables that have a small amplitude of the leading correction. We obtain nu=0.63002(10), eta=0.03627(10) and omega=0.832(6). We compare our results with those obtained from previous Monte Carlo simulations and high temperature series expansions of lattice models, by using field theoretic methods and experiments.
Keywords
Cite
@article{arxiv.1004.4486,
title = {A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class},
author = {Martin Hasenbusch},
journal= {arXiv preprint arXiv:1004.4486},
year = {2013}
}
Comments
25 pages, 6 figures, typos corrected, references added, conclusions extended